1. Measurement
Mr. Martin

2. 1. Distance (Length) How wide is the floppy disk?
How wide is the black metal tab?

3. Measure Accurately Here you can read to the nearest tenth of a cm.
Measuring Length of Book
Zero mark at one edge of book.
Read measurement at other edge.
Here you can read to the nearest tenth of a cm.

4. Breaking News!
King Hector died Monday drinking chocolate milk!

5. Kilometer (km) 1000m Hectometer (hm) 100m Decameter (dam) 10m
King Hector died Monday drinking chocolate milk. Kilo hecto deca meter deci centi milli
Kilometer (km) 1000m
Hectometer (hm) 100m
Decameter (dam) 10m
Meter (m) 1m
Decimeter (dm) .1m
Centimeter (cm) .01m
Millimeter (mm) .001m
Micrometer (um) m
Nanometer (nm) m

6. You try and measure some distances.
Width of table in cm? in meters? in decimeters?
Length of table in cm? in meters? in decimeters?
Width of Pre-Algebra math book in cm? in meters?
Length of Pre-Algebra math book in cm? in meters?
Depth of Pre-Algebra math book in cm? in mm?
Dimensions (length and width) of floor of room in meters?
Length of pencil? (You choose appropriate metric measure)
Diameter of a coin? (You choose the coin and the appropriate metric measure)

7. Conversions (Why King Hector is important!)
King Hector died Monday drinking chocolate milk!
K H D M D C M

8. You Try! 5.75m = _____ cm 5.8km = _____ m
1,345cm = _____m = _____ dam = ____dm
52cm = _____m = ______km
127mm = _____ cm = _____m = ______dm
0.056km = _____m = _____cm

9. 2. Area
Definition – Number of square units that fit into a two dimensional space.
7cm
Area = 5cm x 7cm
= 35 cm2 = 35 square
centimeters
5cm

10. Area Applications The square feet in a house.
In metric, the square meters in a house.
The square feet of carpet in the classroom.
In metric, the square meters of carpet in the classroom.
Calculate it!
The area in square centimeters of the cover of the Pre-Algebra book.

11. Big Areas
Large areas of land in the United States are frequently measured in acres.
One square mile, which is called a section, has 640 acres. Therefore, one acre is 1/640 of a square mile.
One mile = 5280 feet. One square mile is hence equal to 5280 feet x 5280 feet = square feet. One acre is 1/640 times = 43,560 square feet.
Large areas of land in the metric system are measured in Hectares.
1 hectare is equal to 10,000 square meters (100 meters x 100 meters)
1 hectare is about 2.5 acres

12. 3. Volume
Definition volume – the amount of three dimensional space an object occupies.
Measured in cubic units such as cubic meters, cubic centimeters, etc.
1cm
1cm 1m
1cm
One Cubic
Meter
1cm
One Cubic Centimeter
(cm3) 1m 1m

13. What’s the volume? Calculate it!
Answer?
140 cm3
280m3
5cm
4cm
7cm
10m 7m 4m

14. The cube is one decimeter by one decimeter by one decimeter
What is the volume in cubic decimeters?
1 dm3
What is the volume in cubic centimeters?
Clue: What are the dimensions in cm?
10cm x 10cm x 10cm = 1,000 cm3

15. Some Interesting Volume Names
1 cubic decimeter = 1,000 cubic centimeters = 1 Liter (L)
1 cubic centimeter (cm3) is abbreviated in medicine frequently as cc.
1 cm3 = 1 cc = 1 milliliter = 1 mL
1 mL of water at standard temperature and pressure has a Mass of 1 gram (gm)
1 L of water at standard temperature and pressure has a Mass of 1 kilogram (Kg)
More on Mass later

16. Practice with Metric Volume
Find the volume of the classroom in:
Cubic meters
Liters (Remember a liter is a cubic decimeter)
Milliliters (Remember a mL is a cubic cm)

17. King Hector died Monday drinking chocolate milk! (Again!)
King Hector is useful for converting metric units of volume also
King Hector died Monday drinking chocolate milk!
K H D M D C M

18. You Try! 57.5L = _____ dL (deciliter)=_____mL
5.2mL = ____ cc = ____ cm3
5.8m3 = _____ L
1,345mL = _____L = _____ dL
52kL = _____L
.05L = ____ mL
1mL = ____L

19. Homework
Date: _________________
Name: ________________
Use a tape measure to measure the dimensions of your bedroom. Use 2.5m for the height of the room. (I don’t want you climbing!) Ans. ______________
What is the area of the floor in square meters? ________________________
What is the area of any one of your walls in square meters? _________________
What is the volume of your room in cubic meters? ___________ In liters? _______

20. Common Places Where Volume is Used
Diet Coke can holds 355 mL of Diet Coke
Water bottle holds 500 mL or 0.5 L of water

21. In chemistry, we can measure volume with a flask, beaker or more accurately with a graduated cylinder
Graduated
cylinder
beaker
Erlenmeyer
flask

22. Volume from Geometry
Coke can has inner diameter of about 6.1cm and a height of about 12 cm
It is roughly a cylinder
Area = area base x height = Πr2h = 3.14x3.05cmx3.05cmx12cm= 351 cm3, which is close to what the Coke can says

23. Volume from Graduated Cylinder
Or pour the liquid into a graduated cylinder

24. How do I find the volume of the rock?

25. Ideas? Does this give you an idea?
It reads 200 mL at the bottom of the meniscus.
How does this help in finding the volume of the rock?

26. What do I do with the rock?
Put rock in water
See how much water it displaces
That equals the volume of the rock
Here, the original volume of the water was 200mL
The new volume is about 245mL
The volume of the rock is 245mL – 200mL = 45mL

27. 4. Mass Mass- the measure of the amount of matter in an object
Root prefix unit is gram (In SI the base unit is kilogram. A gram is 1/1000 of a kilogram.)
King Hector died Monday drinking chocolate milk
kilo hecto deca (gram) deci centi milli
As a practical matter, people primarily use kilogram (1,000 grams), grams and milligrams (.001 gram or 1/1,000 of a gram)
Informally, a kilogram is about 2.2 pounds, a paper clip has a mass of about 1 gram and a new penny has a mass of about 2.5 gram. Milligrams are very small and are frequently used to measure the mass of medicines.

28. Mass versus Weight
In everyday language, people often use mass and weight interchangeably. They are different, however.
Weight is the mass of an object multiplied by its acceleration due to gravity. Weight is a force. In the metric system it is measured in Newtons. In customary units it is measured in pounds.
Your mass is same on earth as it is on the moon.
Your weight on earth is different from your weight on the moon since there is less gravity on the moon. If I weigh 100 pounds on earth, I would weigh only 16.6 pounds on the moon. I would weigh pounds on Jupiter. (

29. How to Measure Mass
Mass is measured with a balance like the simple balance or triple beam balance below
Simple Balance
Triple Beam Balance

30. Measuring Mass with Triple Beam Balance
Set object on pan
Move largest mass (middle) to point just before balance tips
Move mass in back to point just before balance tips
Move smallest mass (front) until line is exactly at zero

31. A Scale Measure Weight, Not Mass
The spring scale here technically measures weight, not mass
Weight is a force that is equal to the mass times the acceleration of gravity
This scale will show different weights on earth and the moon. A balance will give the same measure of mass.
The metric unit for weight is a Newton
This spring scale actually reads in grams, however, a unit of mass. It is a reasonably accurate measure of mass on earth.

32. A Digital Scale
While technically a scale that measures weight, this is set up to measure mass in grams also
It would not give an accurate mass on the moon
Here, the rock has a mass of 115 grams
It is precise to the nearest gram
A digital scale is fast and easy
to use.

33. 5. Density Density is mass divided by volume
I.e., density is mass per unit volume
A measure of density is grams/mL

34. Each is about the same volume.
Golf Ball
Table Tennis Ball
Which one has the greater density?

35. Let’s find the density of each.
Volume of sphere =
Golf Ball
Diameter of golf ball is: __________
Find volume: ________
Mass of golf ball is: ______________
(Use balance to measure)
Density = Mass/Volume
Make sure you have appropriate units in the result
Table Tennis Ball
Diameter of table tennis ball is: __________
Find volume: ________
Mass of table tennis ball is: ______________
(Use balance to measure)
Density = Mass/Volume
Make sure you have appropriate units in the result

36. Measuring the Mass with Triple Beam Balance

37. Let’s see the result Table Tennis Ball
Diameter of table tennis ball is: 3.6 cm
Find volume:
Mass of table tennis ball is: 2.6g
Density = Mass/Volume
2.6g/24.43mL = 0.106g/mL
Golf Ball
Diameter of golf ball is: 4.0 cm
Find volume:
Mass of golf ball is: 46.0g
Density = Mass/Volume
46.0g/33.51mL =
1.37 g/mL
The golf ball is almost 13 times more dense. (1.37/.106 =12.9)

38. You Do It! Determine the density of the tennis ball and baseball.

39. Find the density of each.
Volume of sphere =
Baseball
Diameter of baseball is: __________
Find volume: ________
Mass of baseball is: ______________
(Use balance to measure)
Density = Mass/Volume
Make sure you have appropriate units in the result
Tennis Ball
Diameter of tennis ball is: __________
Find volume: ________
Mass of tennis ball is: ______________
(Use balance to measure)
Density = Mass/Volume
Make sure you have appropriate units in the result

40. 6. Temperature How hot or cold a substance is
A measure of the average kinetic energy of an object
Two common scales to measure – Celsius and Fahrenheit
Celsius is used in science and in countries using the metric system
Water
Boils
100ºC
212ºF
Water
Freezes
0ºC
32ºF
Celsius
Fahrenheit

41. Converting from Fahrenheit to Celsius and Celsius to Fahrenheit
If you know the Celsius
temperature, you can convert
to Fahrenheit by plugging in
the Celsius temperature in this
formula.
The same formula in decimal
form.
If you know the Fahrenheit
temperature, you can convert
to Celsius by plugging in
the Fahrenheit temperature
in this formula.
It’s good to know at least the top formula since they show up on standardized tests.
If you know the top formula, you can also solve for C to get the bottom formula.

42. If you are familiar with the slope intercept form of a line, you can figure out the formulas.